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Finding the Fourth Proportional to 599.09, 897.48 and 368.06

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Solution

The fourth proportional to 599.09, 897.48 and 368.06 is: 551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.09 : 897.48 = 368.06 : x
  2. Step 2: Convert to fraction form
    599.09/897.48 = 368.06/x
  3. Step 3: Cross multiply
    599.09x = 897.48 × 368.06
  4. Step 4: Simplify right side
    599.09x = 330,322.00
  5. Step 5: Solve for x
    x = 330,322.00/599.09
  6. Step 6: Final answer
    x = 551.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.